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Question

Which of the following combination should be selected for better turning of an L.C.R circuit used for communication?
  1. R=25Ω,L=15H,C=45μF
  2. R=25Ω,L=15H,C=35μF
  3. R=15Ω,L=35H,C=30μF
  4. R=25Ω,L=25H,C=45μF

A
R=25Ω,L=15H,C=35μF
B
R=15Ω,L=35H,C=30μF
C
R=25Ω,L=15H,C=45μF
D
R=25Ω,L=25H,C=45μF
Solution
Verified by Toppr

For tuning an LCR circuit, its selectivity should be high. High selectivity is observed in circuits with high-quality factor.
Q=LRC
Puting value in above equation:
For option (a), Q=7.3
For option (b), Q=8.28
For option (c), Q=9.43
For option (d), Q=13.67

As Q=3.51530×106=13.67

Hence, option (d) is the best combination.

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